11068511365440 has 672 divisors, whose sum is σ = 41459548515840. Its totient is φ = 2700988416000.

The previous prime is 11068511365403. The next prime is 11068511365441. The reversal of 11068511365440 is 4456311586011.

11068511365440 is a `hidden beast` number, since 1 + 1 + 0 + 68 + 5 + 11 + 36 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11068511365441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226571097 + ... + 226619943.

It is an arithmetic number, because the mean of its divisors is an integer number (61695756720).

Almost surely, 2^{11068511365440} is an apocalyptic number.

11068511365440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11068511365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20729774257920).

11068511365440 is an abundant number, since it is smaller than the sum of its proper divisors (30391037150400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11068511365440 is a wasteful number, since it uses less digits than its factorization.

11068511365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49031 (or 49018 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11068511365440 in words is "eleven trillion, sixty-eight billion, five hundred eleven million, three hundred sixty-five thousand, four hundred forty".